Hi there,
This is the original inequality equation:

So, we first need to find the critical points of equality, and we can do that by switching the less than sign to an equal sign.

Now, we multiply both sides by x + 1:

Then, we multiply both sides by x - 1:

Next, we subtract x² from both sides:

After that, we solve for x. We do this by adding -x to both sides and dividing by 2. Doing so gives us x = 0, which is our first critical point. We need to find a few more critical points by testing x = -1 and x = 1. Here is how we do that:
<span>x = <span>−1 </span></span>(Makes left denominator equal to 0)<span>x = 1 </span>(Makes right denominator equal to 0)Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>x <<span>−1 </span></span>(Doesn't work in original inequality)<span><span><span>−1 </span>< x </span><0 </span>(Works in original inequality)<span><span>0 < x </span>< 1 </span>(Doesn't work in original inequality)<span>x > 1 </span><span>(Works in original inequality)
Therefore, the answer to your query is
-1 < x < 0 or x > 1. Hope this helps and have a phenomenal day!</span>
Answer: E) 450g and F) 100g
Step-by-step explanation:
A pound is approximately <em>0.4535 kilogrammes</em>, so <em>453,5 grammes</em>. With this information, we can determine that answers E (450 grammes) and F ( 100 grammes) are the only correct ones.
The LCM of 4,8,14 is 56
M of 4 are 4,8,12,16,20,24,28,32,36,40,44,48,52,56
M of 8 are 8,16,32,48,56,64
M of 14 are 14,28,42,56
I hope this helps you
see the attached figure to better understand the problem
we know that
If a and b are parallel lines
then
m∠1=m∠4 --------> by alternate exterior angles
m∠3+m∠4=
--------> by supplementary angles
so
m∠3+m∠1=
therefore
<u>the answer is the option</u>
m∠1 = 110° and m∠3 = 70°
Answer:
$480
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
Original cost including sales tax = $1,200
Discount = 60%
So, we can calculate the cost of TV after discount by using following formula:
Cost of TV after discount = $1,200 - ( $1,200 × 60%)
= $1,200 - $720
= $480
Hence, Cost of TV after discount is $480.